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Finding the Fourth Proportional to 522,242.84, 783,320.52 and 206,615

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Solution

The fourth proportional to 522,242.84, 783,320.52 and 206,615 is: 309,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,242.84 : 783,320.52 = 206,615 : x
  2. Step 2: Convert to fraction form
    522,242.84/783,320.52 = 206,615/x
  3. Step 3: Cross multiply
    522,242.84x = 783,320.52 × 206,615
  4. Step 4: Simplify right side
    522,242.84x = 161,845,769,239.80
  5. Step 5: Solve for x
    x = 161,845,769,239.80/522,242.84
  6. Step 6: Final answer
    x = 309,905.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.